Least Common Multiple (LCM) of 176 and 55
The least common multiple (LCM) of 176 and 55 is 880.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 176 and 55?
First, calculate the GCD of 176 and 55 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 176 ÷ 55 = 3 remainder 11 |
| 2 | 55 ÷ 11 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 30 and 28 | 420 |
| 41 and 11 | 451 |
| 18 and 195 | 1170 |
| 148 and 160 | 5920 |
| 150 and 180 | 900 |